Question

List the sample space for rolling a fair six-sided die. S = {1} S = {6} S = {1, 2, 3, 4, 5, 6} S = {1, 2, 3, 4, 5, 6, 7, 8}

Answer 1

S=1,2,3,4,5,6 is the correct answer

Answer 2

The sample space for rolling a fair six-sided die is: S = {1, 2, 3, 4, 5, 6}

The sample space represents all the possible outcomes of an event. In this case, the event is rolling a fair six-sided die, so the sample space is the set of all the possible numbers that can appear on the die, which are 1, 2, 3, 4, 5 and 6.

Option A, S = {1}, is incorrect because this only represents one outcome, not all possible outcomes.

Option B, S = {6}, is incorrect because this only represents one outcome, not all possible outcomes.

Option C, S = {1, 2, 3, 4, 5, 6}, is correct as it represents all possible outcomes.

Option D, S = {1, 2, 3, 4, 5, 6, 7, 8}, is incorrect because this includes numbers that cannot appear on a six-sided die, and it does not represent all possible outcomes.

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